424710144 has 156 divisors (see below), whose sum is σ = 1261184652. Its totient is φ = 137625600.

The previous prime is 424710127. The next prime is 424710179. The reversal of 424710144 is 441017424.

It can be written as a sum of positive squares in 2 ways, for example, as 132710400 + 291999744 = 11520^2 + 17088^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1511284 + ... + 1511564.

It is an arithmetic number, because the mean of its divisors is an integer number (8084517).

Almost surely, 2^424710144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424710144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630592326).

424710144 is an abundant number, since it is smaller than the sum of its proper divisors (836474508).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

424710144 is a wasteful number, since it uses less digits than its factorization.

424710144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 424710144 is about 20608.4968884196. The cubic root of 424710144 is about 751.6763357398.

Adding to 424710144 its reverse (441017424), we get a palindrome (865727568).

The spelling of 424710144 in words is "four hundred twenty-four million, seven hundred ten thousand, one hundred forty-four".